# How do you use PEMDAS to simplify 2[-4+3(-7+4)]?

Feb 8, 2016

2[−4+3(−7+4)]

The expression has so many parenthesis that no rule of order of operations is needed

2[−4+3(-3)]

2[−4-9]

2[−13]

-26

Feb 8, 2016

$2 \left[- 4 + 3 \left(- 7 + 4\right)\right] = - 26$

#### Explanation:

First, we evaluate any expressions within parentheses.

2color(red)([-4+3color(blue)((-7+4color(blue))color(red)]

Within the innermost parentheses, there are no exponents, and no multiplication or division, thus we move on to adding $- 7$ and $4$

=2color(red)([$- 4 + 3 \left(- 3\right)$color(red)]

Within the outer parentheses, there are no exponents, so we move on to multiplying $3$ and $- 3$.

2color(red)([ -4+color(blue)(3(-3) color(red)]

=2color(red)([ $- 4 + \left(- 9\right)$ color(red)]

There is no more multiplication within the outer parentheses, and so we move on to adding $- 4$ and $- 9$

$= 2 \left[- 13\right]$

Now that there are no operations left within parentheses, we continue. The only operation remaining outside of parentheses is to multiply $2$ and $- 13$

$= - 26$